Question

a class quiz has 4 multiple - choice questions and each question has 4 possible answers (a, b, c, or d). the correct answers are b, c, a, and a, in that order, and you must correctly answer at least three questions to pass the quiz. use the drop - down menus to design the best possible scenario to find the experimental probability of passing the quiz by guessing. which simulation tool would you use? how many results do you need for each trial? what is the theoretical probability that you would guess the correct answer to every question? 1/5 3/16 3/256 1/256

Explanation:

Step1: Determine simulation tool

A random - number generator can be used to simulate guessing. Each number from 1 - 4 can represent answers A - D respectively.

Step2: Determine number of results per trial

Since there are 4 questions in the quiz, we need 4 results for each trial.

Step3: Calculate theoretical probability of guessing all correct

The probability of guessing one question correctly is $\frac{1}{4}$. Since there are 4 independent questions, the probability of guessing all 4 correctly is $\frac{1}{4}\times\frac{1}{4}\times\frac{1}{4}\times\frac{1}{4}=\frac{1}{256}$ using the multiplication rule for independent events.

Answer:

Simulation tool: Random - number generator
Number of results for each trial: 4
Theoretical probability of guessing all correct: $\frac{1}{256}$